The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged, the new number is 55 more than twice the original number. If the hundreds and tens digits are interchanged, the new number is 2 more than thrice the original number. Find the number.
The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged, the new number is 55 more than twice the original number. If the hundreds and tens digits are interchanged, the new number is 2 more than thrice the original number. Find the number.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 35WE
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Question
![The sum of the digits of a three-digit
number is 8. If the ones and hundreds digits
are interchanged, the new number is 55
more than twice the original number. If the
hundreds and tens digits are interchanged,
the new number is 2 more than thrice the
original number. Find the number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc43aa656-403f-4256-9c1c-1bc7aa9472ff%2Fd1aff554-3173-4b05-821e-7062824e4054%2Fpwkj2mw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The sum of the digits of a three-digit
number is 8. If the ones and hundreds digits
are interchanged, the new number is 55
more than twice the original number. If the
hundreds and tens digits are interchanged,
the new number is 2 more than thrice the
original number. Find the number.
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